Physical optics

In physics, physical optics, or wave optics, is the branch of optics which studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid. This usage tends not to include effects such as quantum noise in optical communication, which is studied in the sub-branch of coherence theory.

The physical optics approximation

Physical optics is also the name of an approximation commonly used in optics, electrical engineering and applied physics. In this context, it is an intermediate method between geometric optics, which ignores wave effects, and full wave electromagnetism, which is a precise theory. The word "physical" means that it is more physical than geometric or ray optics and not that it is an exact physical theory.

This approximation consists of using ray optics to estimate the field on a surface and then integrating that field over the surface to calculate the transmitted or scattered field. This resembles the Born approximation, in that the details of the problem are treated as a perturbation.

In optics, it is a standard way of estimating diffraction effects. In radio, this approximation is used to estimate some effects that resemble optical effects. It models several interference, diffraction and polarization effects but not the dependence of diffraction on polarization. Since it is a high frequency approximation, it is often more accurate in optics than for radio.

In optics, it typically consists of integrating ray estimated field over a lens, mirror or aperture to calculate the transmitted or scattered field.

In radar scattering it usually means taking the current that would be found on a tangent plane of similar material as the current at each point on the front, i. e. the geometrically illuminated part, of a scatterer. Current on the shadowed parts is taken as zero. The approximate scattered field is then obtained by an integral over these approximate currents. This is useful for bodies with large smooth convex shapes and for lossy (low reflection) surfaces.

The ray optics field or current is generally not accurate near edges or shadow boundaries, unless supplemented by diffraction and creeping wave calculations.

The theory of physical optics has some defects in the evaluation of the scattered fields.^[1] For example the diffracted fields, which are evaluated by the method of physical optics, are incorrect. In 2004, Y. Z. Umul has introduced an improved theory that leads to the exact solutions to wave diffraction problems by conducting scatterers, based on three axioms.^[1] This unique idea was also independently suggested by Shijo et al., four years after Umul's work.^[2]

See also

• Electromagnetic modeling
• History of optics
• Negative index metamaterials

References

• Serway, Raymond A.; Jewett, John W. (2004). Physics for Scientists and Engineers (6th ed.). Brooks/Cole. ISBN 0-534-40842-7. 
• Akhmanov, A ; Nikitin, S. Yu (1997). Physical Optics. Oxford University Press. ISBN 0-19-851795-5. 
• "A double-edge-diffraction Gaussian-series method for efficient physical optics analysis of dual-shaped-reflector antennas". Antennas and Propagation: 2597. August 2005. 
• Asvestas, J. S. (February 1980). "The physical optics method in electromagnetic scattering". Journal of Mathematical Physics 21 (2): 290–299. Bibcode 1980JMP....21..290A. doi:10.1063/1.524413. 

1. ^ ^{a b} Umul, Y. Z. (October 2004). "Modified theory of physical optics". Optics Express 12 (20): 4959–4972. Bibcode 2004OExpr..12.4959U. doi:10.1364/OPEX.12.004959. PMID 19484050. 
2. ^ Shijo, T.; Rodriguez, L.; Ando, M. (Dec. 2008). "The modified surface-normal vectors in the physical optics". Antennas and Propagation, IEEE Transactions on 56 (12): 3714–3722. Bibcode 2008ITAP...56.3714S. doi:10.1109/TAP.2008.2007276.